@weesocks Honestly, don't even think of an AVR (used or new).
The tuners in AVRs are absolute garbage and that is a primary interest to you. Compared to even a budget 1970s receiver's AM/FM front end, they lact performance in every crucial aspect involving decent radio reception.
If it were me, I'd track down one of the last actual high quality, 2channel receivers built by Sony. The STR-GX9ES. About 32 years old, but will completely blow the doors off any AVR you can name for the purposes you have in mind. And it will be well below your budget. Full remote, tons of power, every feature you need and as solid as a rock.
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Take your time, find a mint condition unit and enjoy.